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The Euklidean correlation functions and vacuum expectation values of productsof field operators of some Lorentz spin and dimension are expressed throughMellin amplitudes which depend on complex dimensions subject to linearconstraints. The constraints can be solved in terms of conserved momenta whosesquares are given by the field dimensions, and related Mandelstam variables s.The Mellin amplitudes furnish a universal representation of conformal fieldtheories without explicit reference to D. The costumary principles of quantumfield theory plus conformal invariance and operator product expansions (OPE)say that the Mellin amplitudes are amplitudes of dual resonance models withexact duality and a form of factorization which follows from OPE. Fields in theOPE with spin l and dimension d produce simple poles in the scalar 4-pointMellin amplitude at s=d-l+2n, n=0,1,2,3... with polynomial residues. Theleading pole determines the satellites n=1,2,3...

D-independent representation of Conformal Field Theories in D dimensions via transformation to auxiliary Dual Resonance Models. Scalar amplitudes